A 100-g toy car is propelled by a compressed spring that starts it moving. The car follows the curved track in Figure 7.39. Show that the final speed of the toy car is 0.687 m/s if its initial speed is 2.00 m/s and it coasts up the frictionless slope, gaining 0.180 m in altitude.
The toy car moves up the slope and gains a height. This gain in height will result in the change in potential energy for the toy. At the start of its motion, the toy car will have a greater velocity. But as it will continue to move upward, it will slow down. So, there will be a change in its kinetic energy. We are required to calculate the speed of the toy when it reaches the height of 0.180 m.
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Initial height of the toy is zero. So, the initial potential energy of the toy is also zero.
The initial speed of the toy m/s
Final height of the toy m
We are required to show that the final speed of the toy is 0.687 m/s.